Identify Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean if a relation is not a function?

Back

It means that at least one x-value is paired with multiple y-values.

Front

What is an example of a function?

Back

The relation {(1,2), (2,3), (3,4)} is a function because each x-value has one y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1,2), (1,3), (2,4)} is not a function because the x-value 1 has two y-values (2 and 3).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the definition of the rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often represented as the slope of a line.

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What does a constant slope indicate?

Back

A constant slope indicates a linear relationship between the variables.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.